期刊论文详细信息
Boundary value problems | |
An asymptotic property of the Camassa-Holm equation on the half-line | |
Jia Jia1  Shunguang Kang1  | |
[1] College of Information Engineering, Tarim University, Alar, P.R. China | |
关键词: Camassa-Holm equation; asymptotic density; momentum density; asymptotic property; Dirac measures; 35Q53; 37K40; | |
DOI : 10.1186/s13661-016-0726-0 | |
学科分类:数学(综合) | |
来源: SpringerOpen | |
【 摘 要 】
The paper addresses the asymptotic properties of Camassa-Holm equation on the half-line. That is, using the method of asymptotic density, under the assumption that it is unique, the paper proves that the positive momentum density of the Camassa-Holm equation is a combination of Dirac measures supported on the positive axis. This means that as time goes to infinity, the momentum density concentrates in small intervals moving right with different constant speeds.
【 授权许可】
CC BY
【 预 览 】
Files | Size | Format | View |
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RO201904027547934ZK.pdf | 1606KB | download |